Many Tiling Puzzles

thingiverse

Tiling Puzzles Discovered Using Computer Program by dmoews - tiling-002.tgz - see http://djm.cc/dmoews.html The Puzzles Are Made from 9 Pieces, Including 7 Hexominoes, a Domino and a Tromino. See the Image in Notes for the Numbering Used to Identify Individual Hexominoes. See Also - https://en.wikipedia.org/wiki/Hexomino Four of the Puzzles Are of the Kind Described in thing:3155452, "Simple Tiling Puzzles". The Hexominoes Are In Two Sets, One of Three Pieces, Numbers 6, 8, and 8, and a Second Set of Four Pieces, Numbers 16, 21, 22, and 29. The 4 Piece Set Is to Be Taken, One at a Time, and Added to the Three Piece Set to Form a 4 Piece Puzzle. Each Puzzle Tiles a 5x5 Square. As the Pieces Are All Composed of 6 Sub Squares, the Tiled Square Will Be Missing a Sub Square. In all 4 Cases the Solution Will Have a Corner Square Missing; one of the Puzzles, Using Piece 16, Has a Second Solution Where the Tiled Square Lacks a Sub Square Shifted Diagonally One Space in from a Corner. The Two Small Pieces, a Domino and a Tromino, Can Be Added to the 7 Hexominoes to Construct Puzzles That Tile to Form Rectangles - Some Trivial to Solve - Those with More Pieces Harder. See the Image in Notes for the Numbering. Rectangular Tiling Puzzles ----------------------------------- 3x3 1 Hexomino 1 Tromino 1 Puzzle - Hexomino 16 + Tromino 3x5 2 Hexominoes 1 Tromino 2 Puzzles - Hexominoes 6 & 16 + Tromino Hexominoes 8 & 16 + Tromino 4x5 3 Hexominoes 1 Domino 5 Puzzles - Hexominoes 6, 8, & 16 + Domino Hexominoes 6, 8, & 21 + Domino Hexominoes 6, 8, & 22 + Domino Hexominoes 6, 8, & 29 + Domino Hexominoes 8, 16, & 22 + Domino 3x7 3 Hexominoes 1 Tromino 2 Puzzles - Hexominoes 6, 8, & 16 + Tromino Hexominoes 8, 8, & 16 + Tromino 3x9 4 Hexominoes 1 Tromino 1 Puzzle - Hexominoes 6, 8, 8, & 16 + Tromino 4x8 5 Hexominoes 1 Domino 2 Puzzles - Hexominoes 6, 8, 16, 21 & 22 + Domino Hexominoes 6, 8, 21, 22 & 29 + Domino 5x9 7 Hexominoes 1 Tromino 1 Puzzle - All 7 Hexominoes That Is 6, 8, 8, 16, 21, 22 & 29 + Tromino Many Different Arrangements - Hint One Has the Tromino at a Corner Improved openSCAD Code is Given; Any of the 2472 Possible Puzzles Described in thing:3155452, Can Be Printed Directly